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Finding the Third Proportional to 89,819 and 124,884.75

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Solution

The third proportional to 89,819 and 124,884.75 is: 173,640.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,819 : 124,884.75 = 124,884.75 : x
  2. Step 2: Convert to fraction form
    89,819/124,884.75 = 124,884.75/x
  3. Step 3: Cross multiply
    89,819x = 124,884.75 × 124,884.75
  4. Step 4: Simplify right side
    89,819x = 15,596,200,782.56
  5. Step 5: Solve for x
    x = 15,596,200,782.56/89,819
  6. Step 6: Final answer
    x = 173,640.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.